Let's simplify the expression:

$5\sqrt{2} + 1\sqrt{2} - 3\sqrt{2}$

1. Combine like terms (all terms have $\sqrt{2}$):

$(5 + 1 - 3)\sqrt{2} = 3\sqrt{2}$

So, the simplified expression is:

$3\sqrt{2}$

Would you like more details on how to combine like terms?

Here are 5 related questions you might find useful:

1. How do you add and subtract radical expressions?
2. What are the steps for simplifying expressions with square roots?
3. Can square roots with different radicands be combined?
4. How do you multiply square roots?
5. What is the process of rationalizing the denominator in square root expressions?

Tip: Always combine only like terms when dealing with radicals—those with the same radicand (number under the square root).